Title
Sankaku-Tori: An Old Western-Japanese Game Played on a Point Set
Abstract
We study a combinatorial game named "sankaku-tori" in Japanese, which means "triangle-taking" in English. It is an old pencil-and-paper game for two players played in Western Japan. The game is played on points on the plane in general position. In each turn, a player adds a line segment to join two points, and the game ends when a triangulation of the point set is completed. The player who completes more triangles than the other wins. In this paper, we consider two restricted variants of this game. In the first variant, the first player always wins in a nontrivial way, and the second variant is NP-complete in general.
Year
DOI
Venue
2014
10.1007/978-3-319-07890-8_20
Lecture Notes in Computer Science
Field
DocType
Volume
Simultaneous game,Combinatorial game theory,Grundy's game,Combinatorics,Strategy,Computer science,Nim,Repeated game,Sequential game,Game tree
Conference
8496
Issue
ISSN
Citations 
8
0302-9743
0
PageRank 
References 
Authors
0.34
2
7
Name
Order
Citations
PageRank
Takashi Horiyama18119.76
Masashi Kiyomi220417.45
Yoshio Okamoto317028.50
Ryuhei Uehara452875.38
Takeaki Uno51319107.99
yushi uno622228.80
Yukiko Yamauchi719623.91